New insights on the stability problem from recent results in classical perturbation theory
by Antonio Giorgilli
Contents:
- Overview
- Integrable systems
- Periodic and quasi periodic flow
- Isochronous and nonisochronous systems
- A result from diophantine theory
- The theorem of Liouville and Arnold
- An example: the Keplerian motion
- The theorem of Poincaré and the Arnold diffusion
- The theorem of Poincaré
- Some remarks on the theorem of Poincaré
- A formally integrable case
- The Arnold's example of diffusion
- A simple proof of the theorem of Nekhoroshev
- Algebraic and analytic setting
- Technical estimates
- Truncated integrals
- Exponential estimates
- A note on the application to physical models
Les méthodes modernes de la mécanique céleste, D. Benest, C. Froeschlé eds., Ed. Frontières (1990)
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